/**
 * 
 */
package zhoujian.oj.leetcode;

import static org.hamcrest.Matchers.is;
import static org.junit.Assert.assertThat;

import org.junit.Test;

import com.algs4.algs.Stopwatch;

/**
 * @author hyper
 * @email zjkermit@gmail.com
 * @date Dec 26, 2013
 * @version 1.0
 * @description Given n non-negative integers a1, a2, ..., an, where each
 *              represents a point at coordinate (i, ai). n vertical lines are
 *              drawn such that the two endpoints of line i is at (i, ai) and
 *              (i, 0). Find two lines, which together with x-axis forms a
 *              container, such that the container contains the most water.
 * 
 *              Note: You may not slant the container.
 */
public class ContainerWithMostWater {

	// time limit exceeded
	public int bfSolution(int[] height) {
		int len = height.length;
		int max = 0;

		for (int i = 0; i < len; i++) {
			for (int j = i + 1; j < len; j++) {
				int w = j - i;
				int h = Math.min(height[i], height[j]);
				int m = w * h;
				if (m > max) {
					max = m;
				}
			}
		}

		return max;
	}

	// time limit exceeded
	public int bfSolutionU1(int[] height) {
		int len = height.length;
		int max = 0;

		for (int w = len - 1; w > 0; w--) {
			int mh = 0;
			for (int i = 0; i + w < len; i++) {
				int h = Math.min(height[i], height[i + w]);
				if (h > mh) {
					mh = h;
				}
			}
			int m = mh * w;
			if (m > max) {
				max = m;
			}
		}

		return max;
	}

	// Time complexity : O(n)
	public int shiftSolution(int[] height) {
		int left = 0;
        int right = height.length - 1;
        int res = Integer.MIN_VALUE;
        while (left < right) {
            int area = Math.min(height[left], height[right]) * (right - left);
            res = Math.max(res, area);
            if (height[left] <= height[right])
                ++left;
            else
                --right;
        }
        
        return res;
	}

	@Test
	public void testBfSolution() {
		int[] height = new int[]{1, 2, 5, 6, 3, 2, 1};
		assertThat(bfSolution(height), is(8));

		height = new int[]{1, 2, 10, 9, 3, 2, 1};
		assertThat(bfSolution(height), is(9));

		height = new int[]{1, 2};
		assertThat(bfSolution(height), is(1));

		height = new int[]{1};
		assertThat(bfSolution(height), is(0));

		height = new int[]{};
		assertThat(bfSolution(height), is(0));
	}

	@Test
	public void testBfSolutionu1() {
		int[] height = new int[]{1, 2, 5, 6, 3, 2, 1};
		assertThat(bfSolutionU1(height), is(8));

		height = new int[]{1, 2, 10, 9, 3, 2, 1};
		assertThat(bfSolutionU1(height), is(9));

		height = new int[]{1, 2};
		assertThat(bfSolutionU1(height), is(1));

		height = new int[]{1};
		assertThat(bfSolutionU1(height), is(0));

		height = new int[]{};
		assertThat(bfSolutionU1(height), is(0));
	}

	@Test
	public void testShiftSolution() {
		int[] height = new int[]{1, 2, 5, 6, 3, 2, 1};
		assertThat(shiftSolution(height), is(8));

		height = new int[]{1, 2, 10, 9, 3, 2, 1};
		assertThat(shiftSolution(height), is(9));

		height = new int[]{1, 2};
		assertThat(shiftSolution(height), is(1));

		height = new int[]{1};
		assertThat(shiftSolution(height), is(0));

		height = new int[]{};
		assertThat(shiftSolution(height), is(0));
	}

	@Test
	public void testTime() {
		int[] height = new int[]{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,
				15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30,
				31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46,
				47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62,
				63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78,
				79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94,
				95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107,
				108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119,
				120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131,
				132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143,
				144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155,
				156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167,
				168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179,
				180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191,
				192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203,
				204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215,
				216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227,
				228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239,
				240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251,
				252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263,
				264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275,
				276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287,
				288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299,
				300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311,
				312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323,
				324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335,
				336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347,
				348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359,
				360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371,
				372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383,
				384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395,
				396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407,
				408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419,
				420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431,
				432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443,
				444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455,
				456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467,
				468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479,
				480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491,
				492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503,
				504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515,
				516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527,
				528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539,
				540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551,
				552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563,
				564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575,
				576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587,
				588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599,
				600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611,
				612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623,
				624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635,
				636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647,
				648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659,
				660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671,
				672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683,
				684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695,
				696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707,
				708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719,
				720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731,
				732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743,
				744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755,
				756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767,
				768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779,
				780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791,
				792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803,
				804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815,
				816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827,
				828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839,
				840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851,
				852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863,
				864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875,
				876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887,
				888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899,
				900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911,
				912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923,
				924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935,
				936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947,
				948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959,
				960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971,
				972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983,
				984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995,
				996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006,
				1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016,
				1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026,
				1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036,
				1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046,
				1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056,
				1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066,
				1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076,
				1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086,
				1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096,
				1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106,
				1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116,
				1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126,
				1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136,
				1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146,
				1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156,
				1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166,
				1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176,
				1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186,
				1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196,
				1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206,
				1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216,
				1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226,
				1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236,
				1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246,
				1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256,
				1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266,
				1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276,
				1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286,
				1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296,
				1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306,
				1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316,
				1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326,
				1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336,
				1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346,
				1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356,
				1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366,
				1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376,
				1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386,
				1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396,
				1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406,
				1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416,
				1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426,
				1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436,
				1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446,
				1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456,
				1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466,
				1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476,
				1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486,
				1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496,
				1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506,
				1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516,
				1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526,
				1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536,
				1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546,
				1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556,
				1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566,
				1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576,
				1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586,
				1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596,
				1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606,
				1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616,
				1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626,
				1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636,
				1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646,
				1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656,
				1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666,
				1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676,
				1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686,
				1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696,
				1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706,
				1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716,
				1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726,
				1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736,
				1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746,
				1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756,
				1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766,
				1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776,
				1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786,
				1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796,
				1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806,
				1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816,
				1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826,
				1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836,
				1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846,
				1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856,
				1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866,
				1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876,
				1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886,
				1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896,
				1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906,
				1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916,
				1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926,
				1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936,
				1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946,
				1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956,
				1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966,
				1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976,
				1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986,
				1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996,
				1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006,
				2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016,
				2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026,
				2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036,
				2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046,
				2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056,
				2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066,
				2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076,
				2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086,
				2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096,
				2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106,
				2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116,
				2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126,
				2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136,
				2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146,
				2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156,
				2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166,
				2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176,
				2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186,
				2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196,
				2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206,
				2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216,
				2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226,
				2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236,
				2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246,
				2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256,
				2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266,
				2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276,
				2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286,
				2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296,
				2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304, 2305, 2306,
				2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316,
				2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326,
				2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336,
				2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346,
				2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356,
				2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366,
				2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376,
				2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386,
				2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396,
				2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406,
				2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416,
				2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426,
				2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436,
				2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446,
				2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456,
				2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466,
				2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476,
				2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486,
				2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496,
				2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506,
				2507, 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516,
				2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526,
				2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536,
				2537, 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546,
				2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556,
				2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566,
				2567, 2568, 2569, 2570, 2571, 2572, 2573, 2574, 2575, 2576,
				2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2585, 2586,
				2587, 2588, 2589, 2590, 2591, 2592, 2593, 2594, 2595, 2596,
				2597, 2598, 2599, 2600, 2601, 2602, 2603, 2604, 2605, 2606,
				2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616,
				2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626,
				2627, 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636,
				2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646,
				2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656,
				2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666,
				2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676,
				2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686,
				2687, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696,
				2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706,
				2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716,
				2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726,
				2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736,
				2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746,
				2747, 2748, 2749, 2750, 2751, 2752, 2753, 2754, 2755, 2756,
				2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766,
				2767, 2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776,
				2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786,
				2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796,
				2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806,
				2807, 2808, 2809, 2810, 2811, 2812, 2813, 2814, 2815, 2816,
				2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826,
				2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836,
				2837, 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845, 2846,
				2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856,
				2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866,
				2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876,
				2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885, 2886,
				2887, 2888, 2889, 2890, 2891, 2892, 2893};

		Stopwatch s = new Stopwatch();
		bfSolution(height);
		double t = s.elapsedTime();
		System.out.println("bfSolution : " + t);

		s = new Stopwatch();
		bfSolutionU1(height);
		t = s.elapsedTime();
		System.out.println("bfSolutionU1 : " + t);

		s = new Stopwatch();
		shiftSolution(height);
		t = s.elapsedTime();
		System.out.println("shiftSolution : " + t);
	}
}
